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What is the Least Common Multiple of 92795 and 92800?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 92795 and 92800 is 1722275200.

LCM(92795,92800) = 1722275200

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Least Common Multiple of 92795 and 92800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92795 and 92800, than apply into the LCM equation.

GCF(92795,92800) = 5
LCM(92795,92800) = ( 92795 × 92800) / 5
LCM(92795,92800) = 8611376000 / 5
LCM(92795,92800) = 1722275200

Least Common Multiple (LCM) of 92795 and 92800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92795 and 92800. First we will calculate the prime factors of 92795 and 92800.

Prime Factorization of 92795

Prime factors of 92795 are 5, 67, 277. Prime factorization of 92795 in exponential form is:

92795 = 51 × 671 × 2771

Prime Factorization of 92800

Prime factors of 92800 are 2, 5, 29. Prime factorization of 92800 in exponential form is:

92800 = 27 × 52 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 92795 and 92800.

LCM(92795,92800) = 52 × 671 × 2771 × 27 × 291
LCM(92795,92800) = 1722275200